上述讨论进一步完善了已有的复模态矩阵摄动法。
The matrix perturbation of Complex modes has been improved by the present discussions.
详细推导了多自由度结构多测点加速度响应的互功率谱模态矩阵展开式。
The modal matrix expansion of the cross power spectra of the multi-measurement acceleration response in the multi-DOF structure is derived in detail.
用矩阵理论求出几种形式的参数矩阵变换时的模态矩阵，并讨论了功率不变原则下的变换。
Using the matrix theory, we derived the modal matrices of some parameter matrices in transformation, and discussed the transformation with principle of power invariance also.
BERMAN修正方法基于无阻尼系统的模态正交条件，利用实验模态矩阵和特征值对有限元理论模型进行修正。
BERMAN updating arithmetic makes use of experimental model matrix and eigenvalue to modify the finite element academic model, based on the model orthographical condition of non-damping system.
把复模态分析法推广到刚度矩阵可以奇导且质量矩阵、阻尼矩阵和刚度矩阵均不必为对称的情形。
The complex modal analysis method is generalized to the cases in which stiffness matrix may be singular and mass matrix, damping matrix and stiffness may be nonsymmetric.
本文提出一种分析机车横向运动稳定性的方法，即利用复模态的矩阵摄动法来计算临界速度。
This paper presents a new method of analyzing locomotive lateral stability, that is, the critical velocity is calculated by use of the complex mode matrix perturbation theory.
在广义模态坐标的基础上讨论了增益矩阵的计算方法。
A method for computing the gain matrix is given based on the modal coordinate equation.
分析了如何利用测量数据构造矩阵束并进行电力系统振荡模态辨识的方法。
Method of power system oscillation mode identification utilizing matrix pencil constructed from sampled data is presented.
应用这组线性无关的模态集构成坐标变换矩阵，推导出广义坐标下的部件动力学方程。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
基于声辐射模态分析，建立了外部场压和结构表面振动速度之间关系的传递矩阵。
Based on the acoustic radiation mode analysis, the transfer matrix relating the pressure at every field point to normal component of surface velocity is formed.
提出一种基于不完全模态测量数据同时修正有限元质量矩阵与刚度矩阵的有效数值方法。
An efficient numerical method for simultaneously updating mass matrix and stiffness matrix of a finite element analytical model based on incomplete modal data measured is presented.
由于带阻尼围带或凸肩叶片(以下简称阻尼叶片)的运动方程中的阻尼矩阵是非解耦的矩阵，只有引入复模态理论才能圆满解决其特征问题的求解。
Since the damping matrix in the motion equation of damped blade is no longer decoupled as Rayleigh damping, so the complex mode theory is introduced in this paper to overcome the difficulty.
结果表明，多参考点互相关差分模型能够有效地进行环境激励下的模态识别，并且多项式特征值法比增广矩阵法所得结果更好。
It shows that the presented method can be used to identify modal parameters effectively under ambient excitation and that the polynomial eigenvalue method is superior to the augmented matrix method.
本文比较详细地介绍了基于模态理论的无损探伤方法，即频率法、能量法、柔度矩阵法等。
In the paper, some non-destructive methods based on mode theory such as frequency method, energy method and matrix method are introduced.
本文还提出了一种附加质量法来修正高阶模态的截尾误差而不采用剩余柔度矩阵，从而使本法能简易地获得高精度。
In this paper, the additive mass technique is also proposed for correcting the truncation error of higher order modes without using the residual compliance matrix.
动态传递矩阵可以用于计算非对称薄壁梁及其集合体的精确固有频率和模态形状。
The dynamic transfer matrix can be used for calculation of exact natural frequencies and mode shapes for asymmetrical thin-walled beams and its assemblages.
针对该问题，提出一种基于频响函数左矩阵分式模型的模态参数识别方法。
Focusing on this problem, a modal parameters identification algorithm based on left matrix fraction description of FRF was proposed.
对于悬臂结构，其柔度与其结构参数间的线性关系，直接建立模态与结构损伤参数之间的关系，通过解矩阵方程识别损伤参数。
Using this method, the structural damage can be directly identified due to the linear relationship between the elements of flexibility matrix and the parameters of structural members.
基于声辐射模态分析，建立了外部场压和结构表面振动速度之间关系的传递矩阵。
The acoustic radiation resistance matrix is combined with the velocity vector on a vibration surface to predict the total sound power radiated from the structure.
首先，对目前较为常用的船体干模态分析方法迁移矩阵法与有限元法进行了比较研究；
First, a comparison study between two modal analysis method namely the transfer matrix method and finite element method is carried out.
采用了模态变换和精细积分法，解决了考虑多阶模态的阻尼矩阵给求解所带来的困难。
To overcome the difficulties in the solving process brought by the multi-modal damping model, the modal transformation strategy and the precise time-integration method are applied.
文中阐述了框架结构有限单元各阶动约束模态函数的概念，并用它组成结构有限单元各阶动态形函数矩阵。
The concept of dynamic constraint mode functions for elements of a frame is introduced and it is used to form the dynamic shape function matrixes of each order for the finite elements of a frame.
结果表明本文所提出的应用矩阵摄动法修正固有模态的方法是有效的、可靠并且省时的，便于工程应用。
The results are compared with those from the finite element method, and it indicates that the proposed method is quite effective, reliable, efficient and convenient for design applications.
当系统具有重频或近频耦合模态时，常规的矩阵摄动法失效。
The ordinary matrix perturbation method fails to deal with the structural system of repeated or closed frequency modes.
基于随机李亚普诺夫函数的方法，并结合线性矩阵不等式，分别提出依赖于模态的状态反馈和输出反馈控制，以保证相应闭环系统的严格正实性。
Based on stochastic Lyapunov functional approach, both state and output-feedback mode-dependent controllers are proposed to guarantee the strict positive realness of the resulting closed-loop systems.
提出一种基于相关系数矩阵判断准则的经验模态分解去除趋势项的方法。
This paper proposes a method to remove trends based on correlation matrix by empirical mode decomposition(EMD).
依据设计原则，利用模态刚度矩阵、模态质量矩阵和模态频率相似进行了扭振模拟机轴系的设计，扭振模拟机轴系前三阶固有特性与实际机组轴系扭振动特性基本一致。
By modal stiffness matrix, modal mass matrix and modal frequency, shaft units of simulator is designed. The former three steps natural characteristics are identical with the real units'.
本文用低阶模态和系统矩阵表达高阶模态对非比例阻尼结构频响函数的贡献。
In this paper, the contribution of high order mode shape to the frequency response function of disproportional damping structure is expressed by using low order mode shape and system matrix.
模态分析的矩阵摄动法在灵敏度分析和重分析中有广泛的应用。
Several perturbation methods for mode analysis were briefly summarized in this paper, some of which were widely applied in sensitivity analysis as well as reanalysis.
然而，用回传波射矩阵法对结构进行模态分析以及用于层合复合材料框架结构动力响应的研究尚未见报道。
However, the studies on vibration modal analysis of frames by means of the MRRM and transient dynamic response of frames made of laminated composite beams have not been reported yet.
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